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Finding the Third Proportional to 5,124.38 and 11,251.69

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Solution

The third proportional to 5,124.38 and 11,251.69 is: 24,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.38 : 11,251.69 = 11,251.69 : x
  2. Step 2: Convert to fraction form
    5,124.38/11,251.69 = 11,251.69/x
  3. Step 3: Cross multiply
    5,124.38x = 11,251.69 × 11,251.69
  4. Step 4: Simplify right side
    5,124.38x = 126,600,471.60
  5. Step 5: Solve for x
    x = 126,600,471.60/5,124.38
  6. Step 6: Final answer
    x = 24,705.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.